Simplify (frac{log_{5} 8}{log_{5} sqrt{8}}).
- A.
-2 - B.
(frac{-1}{2}) - C.
(frac{1}{2}) - D.
2
Correct Answer: Option D
Explanation
(frac{log_{5} 8}{log_{5} sqrt{8}} = frac{log_{5} 8}{log_{5} 8^{frac{1}{2}}})
= (frac{log_{5} 8}{frac{1}{2}log_{5} 8})
= (frac{1}{frac{1}{2}} )
= 2